Search a number
-
+
304103100 = 223527179809
BaseRepresentation
bin10010001000000…
…011111010111100
3210012020001000210
4102020003322330
51110322244400
650101552420
710351555650
oct2210037274
9705201023
10304103100
11146727184
1285a15710
134b006582
142c560a60
151ba6e950
hex12203ebc

304103100 has 144 divisors (see below), whose sum is σ = 1012435200. Its totient is φ = 69035520.

The previous prime is 304103099. The next prime is 304103141. The reversal of 304103100 is 1301403.

It is a super-2 number, since 2×3041031002 = 184957390859220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375496 + ... + 376304.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2304103100 is an apocalyptic number.

304103100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506217600).

304103100 is an abundant number, since it is smaller than the sum of its proper divisors (708332100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

304103100 is a wasteful number, since it uses less digits than its factorization.

304103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 304103100 is about 17438.5521187970. The cubic root of 304103100 is about 672.4710858526.

Adding to 304103100 its reverse (1301403), we get a palindrome (305404503).

The spelling of 304103100 in words is "three hundred four million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 179 210 300 350 358 420 525 537 700 716 809 895 1050 1074 1253 1618 1790 2100 2148 2427 2506 2685 3236 3580 3759 4045 4475 4854 5012 5370 5663 6265 7518 8090 8950 9708 10740 11326 12135 12530 13425 15036 16180 16989 17900 18795 20225 22652 24270 25060 26850 28315 31325 33978 37590 40450 48540 53700 56630 60675 62650 67956 75180 80900 84945 93975 113260 121350 125300 141575 144811 169890 187950 242700 283150 289622 339780 375900 424725 434433 566300 579244 724055 849450 868866 1013677 1448110 1698900 1737732 2027354 2172165 2896220 3041031 3620275 4054708 4344330 5068385 6082062 7240550 8688660 10136770 10860825 12164124 14481100 15205155 20273540 21721650 25341925 30410310 43443300 50683850 60820620 76025775 101367700 152051550 304103100